Unique continuation from the edge of a crack

In this work we develop an Almgren type monotonicity formula for a class of elliptic equations in a domain with a crack, in the presence of potentials satisfying either a negligibility condition with respect to the inverse-square weight or some suitable integrability properties. The study of the Alm...

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Bibliographic Details
Main Authors: Alessandra De Luca, Veronica Felli
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:Mathematics in Engineering
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/mine.2021023?viewType=HTML